Bayesian and classical estimation of based on Burr type XII distribution under hybrid progressive censored samples

We obtain the estimates of , when the variables X and Y come from Burr type XII distributions with different parameters, and the observed samples are derived from the hybrid progressive censoring schemes, in three cases. First, we obtain MLE, AMLE, two approximation Bayes estimates, asymptotic and HPD intervals of R. Moreover, we study the existence and uniqueness of the MLEs. Second, we obtain the MLE, exact Bayes estimate, asymptotic and Bayesian intervals of R. Third, we obtain some statistical estimations of R. Finally, we compare all methods by Monte Carlo simulations and analyze one data set.